Math Problem Statement
Solution
From the image, we have a table that provides values of and corresponding values of the function . There are also four questions to be answered based on this table. Let's go over each question and provide the answers.
Table Data:
-2 | 1 |
-1 | 0 |
0 | -2 |
1 | -3 |
2 | -1 |
Questions:
-
(a) Vertical Intercept
The vertical intercept occurs when . From the table, .
Answer: The vertical intercept is . -
(b) Horizontal Intercept
The horizontal intercept occurs when . From the table, .
Answer: The horizontal intercept is . -
(c) Evaluate
From the table, .
Answer: . -
(d) Solve
From the table, .
Answer: solves .
Would you like more details or have any other questions?
Here are 5 related questions that you could explore further:
- What is the slope of the function between and ?
- What is the average rate of change of the function between and ?
- Can you find a linear equation that might approximate the function based on the given points?
- How would the graph of this function look based on the table?
- Is the function increasing or decreasing between and ?
Tip: The vertical and horizontal intercepts are crucial when sketching the graph of a function, as they give important clues about where the function crosses the axes.
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Math Problem Analysis
Mathematical Concepts
Functions
Intercepts
Evaluation
Solving equations
Formulas
Vertical Intercept: Set p = 0, Horizontal Intercept: Set c(p) = 0
Theorems
None directly involved
Suitable Grade Level
Grades 9-11
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